Last month, Owen received a bank statement of his savings account. It listed his withdrawal of $300 as −300. The bank shows a total end of the month balance of $10,500. Which statement best interprets |−300| in this context?(1 point)
The number −300 is 300 units away from 0 on a real number line.
Last month, Owen’s account earned interest of $300.
The amount of tax deducted from Owen’s account last month is $300.
The amount of money deducted from Owen’s account last month is $300.
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Which number best translates the phrase “8 inches below normal”?(1 point)
−8
8
|8|
|−8|
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The average annual low temperature in most cities in the U.S. in a certain month is 50°F. The average low temperature recorded in Georgia was 53°F. By how many degrees (°F) is the low temperature in Georgia higher than the average low temperature in the U.S.?(1 point)
3
53
−|3|
−3
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A guest of a hotel went down 3 floors in the elevator. How many floors did the room attendant go down?(1 point)
−3
|3|
3
−|3|
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Which situation translates to |−15| and has a magnitude of 15?(1 point)
15% off the sale price
an increase of 15 inches in length
15 degrees below zero
a gain of 15 points
In order to solve these problems, we need to understand the meaning of absolute value. The absolute value of a number is its distance from zero on the number line, regardless of its sign.
Now, let's go through each question and determine the correct interpretation:
1. The question is asking about the interpretation of |−300|. The absolute value of −300 is 300 units away from zero on the number line. Therefore, the correct interpretation is "The number −300 is 300 units away from 0 on a real number line."
2. The question asks for the number that best translates "8 inches below normal." In this context, "below" implies a negative value. Therefore, the correct answer is −8.
3. The question is asking for the number of degrees (°F) by which the low temperature in Georgia is higher than the average low temperature in the U.S. The average low temperature in the U.S. is 50°F, and the temperature in Georgia is 53°F. To determine the difference, we subtract the average low temperature in the U.S. from the temperature in Georgia: 53 - 50 = 3°F. Therefore, the correct answer is 3.
4. The question asks, if a guest of a hotel went down 3 floors in the elevator, how many floors did the room attendant go down? The direction is the same for both the guest and the room attendant, so the answer is also −3.
5. The question asks for a situation that translates to |−15| and has a magnitude of 15. The magnitude of |−15| is always 15 because the absolute value removes the negative sign. Therefore, the correct answer is "15% off the sale price."